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This seems to be simple..  Please see the diagram.

The angle PQR = 90.
The angle  PXR  can be given as:    PX = 12, PR =5  RX =13

     as 12² + 5² = 13² ,    the triangle  PXR is a right angle triangle.

The angle  PXR :    Sin⁻¹  5/13  or  tan⁻¹ 5/12
                 = 0.3948  radians  or   22.62  deg.

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